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International Journal of Mathematics and Mathematical Sciences
Volume 21, Issue 1, Pages 139-143
http://dx.doi.org/10.1155/S0161171298000180

Symmetric generating set of the groups A2n+1 and S2n+1 using Sn and an element of order two

Department of Mathematics, College of Education, P.O.Box 344, King Abdulaziz University, Madinah, Saudi Arabia

Received 18 March 1996; Revised 28 August 1996

Copyright © 1998 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In this paper we will show how to generate in general A2n+1 and S2n+1 using a copy of Sn and an element of order 2 in A2n+1 or S2n+1 for all positive integers n2. We will also show how to generate A2n+1 and S2n+1 symmetrically using n elements each of order 2.